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This article proposes diffusion LMS strategies for distributed estimation over adaptive networks that are able to exploit sparsity in the underlying system model. The approach relies on convex regularization, common in compressive sensing,…

Machine Learning · Computer Science 2015-06-05 Paolo Di Lorenzo , Ali H. Sayed

This paper presents adaptive link selection algorithms for distributed estimation and considers their application to wireless sensor networks and smart grids. In particular, exhaustive search--based least--mean--squares(LMS)/recursive least…

Systems and Control · Computer Science 2015-10-20 S. Xu , R. C. de Lamare , H. V. Poor

We propose a diffusion least mean p-power (LMP) algorithm for distributed estimation in alpha stable noise environments, which is one of the widely used models that appears in various environments. Compared with the diffusion least mean…

Information Theory · Computer Science 2013-10-22 Fuxi Wen

In this work, we are interested in adaptive and distributed estimation of graph filters from streaming data. We formulate this problem as a consensus estimation problem over graphs, which can be addressed with diffusion LMS strategies. Most…

Signal Processing · Electrical Eng. & Systems 2019-12-13 Fei Hua , Roula Nassif , Cédric Richard , Haiyan Wang , Ali H. Sayed

Distributed estimation and processing in networks modeled by graphs have received a great deal of interest recently, due to the benefits of decentralised processing in terms of performance and robustness to communications link failure…

Multiagent Systems · Computer Science 2016-11-29 C. T. Healy , R. C. de Lamare

This work develops a robust diffusion recursive least squares algorithm to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. This algorithm minimizes an exponentially weighted…

Information Theory · Computer Science 2019-02-20 Y. Yu , R. C. de Lamare , Y. Zakharov

Driven by the need to solve increasingly complex optimization problems in signal processing and machine learning, there has been increasing interest in understanding the behavior of gradient-descent algorithms in non-convex environments.…

Optimization and Control · Mathematics 2019-07-04 Stefan Vlaski , Ali H. Sayed

In this paper, the distributed resource allocation problem on strongly connected and weight-balanced digraphs is investigated, where the decisions of each agent are restricted to satisfy the coupled network resource constraints and…

Optimization and Control · Mathematics 2022-03-10 Xiaohong Nian , Fan Li , Dongxin Liu

A distributed adaptive algorithm for estimation of sparse unknown parameters in the presence of nonGaussian noise is proposed in this paper based on normalized least mean fourth (NLMF) criterion. At the first step, local adaptive NLMF…

Information Theory · Computer Science 2015-12-09 Mojtaba Hajiabadi

Autoregressive Models (ARMs) have long dominated the landscape of Large Language Models. Recently, a new paradigm has emerged in the form of diffusion-based Large Language Models (dLLMs), which generate text by iteratively denoising masked…

Machine Learning · Computer Science 2025-06-10 Zhiyuan Liu , Yicun Yang , Yaojie Zhang , Junjie Chen , Chang Zou , Qingyuan Wei , Shaobo Wang , Linfeng Zhang

In this paper, we introduce a nonlinear distributed model predictive control (DMPC) algorithm, which allows for dissimilar and time-varying control horizons among agents, thereby addressing a common limitation in current DMPC schemes. We…

Systems and Control · Electrical Eng. & Systems 2024-10-15 Paula Chanfreut , José M. Maestre , Quanyan Zhu , W. P. M. H. Heemels

In this work, we study the task of distributed optimization over a network of learners in which each learner possesses a convex cost function, a set of affine equality constraints, and a set of convex inequality constraints. We propose a…

Optimization and Control · Mathematics 2015-06-18 Zaid J. Towfic , Ali H. Sayed

In the last decade, a considerable research effort has been devoted to developing adaptive algorithms based on kernel functions. One of the main features of these algorithms is that they form a family of universal approximation techniques,…

Signal Processing · Electrical Eng. & Systems 2018-08-21 A. Flores , R. C. de Lamare

We study the problem of distributed adaptive estimation over networks where nodes cooperate to estimate physical parameters that can vary over both space and time domains. We use a set of basis functions to characterize the space-varying…

Systems and Control · Computer Science 2015-07-22 Reza Abdolee , Benoit Champagne , Ali H. Sayed

Distributed adaptive signal processing has attracted much attention in the recent decade owing to its effectiveness in many decentralized real-time applications in networked systems. Because many natural signals are highly sparse with most…

Optimization and Control · Mathematics 2017-11-22 Xuanyu Cao , K. J. Ray Liu

The diffusion least mean square (DLMS) and the diffusion normalized least mean square (DNLMS) algorithms are analyzed for a network having a fusion center. This structure reduces the dimensionality of the resulting stochastic models while…

Systems and Control · Electrical Eng. & Systems 2021-08-06 Eweda Eweda , Neil J. Bershad , Jose C. M. Bermudez

Diffusion Large Language Models (DLLMs) offer a compelling alternative to Auto-Regressive models, but their deployment is constrained by high decoding cost. In this work, we identify a key inefficiency in DLLM decoding: while computation is…

Machine Learning · Computer Science 2026-02-02 Kaihua Liang , Xin Tan , An Zhong , Hong Xu , Marco Canini

Denoising diffusion models (DDMs) offer a flexible framework for sampling from high dimensional data distributions. DDMs generate a path of probability distributions interpolating between a reference Gaussian distribution and a data…

Machine Learning · Statistics 2024-12-12 Christopher Williams , Andrew Campbell , Arnaud Doucet , Saifuddin Syed

The learning speed of an adaptive algorithm can be improved by properly constraining the cost function of the adaptive algorithm. Besides, the stabilization of the NCLMF algorithm is more complicated, whose stability depends solely on the…

Systems and Control · Computer Science 2018-05-04 Sihai Guan , Zhi Li

Diffusion-based Large Language Models (D-LLMs) represent a promising frontier in generative AI, offering fully parallel token generation that can lead to significant throughput advantages and superior GPU utilization over the traditional…

Machine Learning · Computer Science 2026-05-15 Michael Rottoli , Subhankar Roy , Stefano Paraboschi